Clean and adjust switches.

Loosen the set screws on the reset shaft and twist it so it'll push them as high as possible

yeah you shouldn't need new switches or springs, just clean the contacts and adjust like zacaj said.
you can use contact cleaner, tabasco sauce or some other mild acid. Just don't leave it on for long, because it'll eat through the plating of the switch itself.

I found this on Marco's site. Looks like the spring 5a-171 is out of stock. The switch shows it's a SW-471. They sell a replacement switch ASE-2911-17, should work.

I'd first try cleaning and adjusting the switches like suggested. Unless broken or the contacts are gone, they should work fine. Springs should be reusable too if not stretched too badly or broken.

large (resized).jpg

This is correct.

And that drop target bank picture is not for the meteor targets.

Yes, HOWEVER -
What the OP was referring to wasn't the game 'remembering', it was the fact they weren't *resetting* properly. Terminology is everything.

How you can tell the difference:
If the targets pop up and then immediately fall back down, that means they're not resetting properly.
If they rise up, then fall down in order a half-second to second after being reset, then THAT is the memory function.